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# The variable is what measures to see if you have difference between two parameters of two matched samples

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y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game? 12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX? 13. The following are probability distributions for two random variablesX,Y. kPr(X=k) 0,0.4 1,0.3 2,0.3 kPr(Y=k) 0,0.5 1,0.3 2,0.2 (a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y? 14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls? 15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?
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than 7.33 is 0.6738, then what is the mean of x?
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rt. Extensive data collection has shown that the noise level (measured from a specific point on the ground) is a variable following a normal distribution with a mean of 95 decibels, and a standard deviation of 10 decibels. The noise levels from jet to jet can be considered to be independent. What percent of jets have noise levels between 80 and 100 decibels ?
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lling price. What is the break-even point in sales dollars?
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estion. Assuming a projected increase in sales of 12% annually, a gross profit margin this year of 19.23%, an operating profit margin this year of 16.31% and a called dividend each year of 16% of after tax earnings, 23.U0 P Flag question Finish attem Time left 2:2 (1) complete the income statement below; (3 points) (2) prepare two subsequent years of pro formas; (6 points) (3) what is the gross profit margin for year 2? (1 point) (4) what is the operating profit margin for year 2? (1 points) (5) what is the gross profit margin for year 3? (1 point) (6) what is the operating profit margin for year 3? (1 point) (7) what is the compound annual growth rate of dividends from year 1 to year 3? (3 points) (8) What is the growth rate of the company's after tax earnings from year 1 to 3? (3 points) (9) If the company too 45% of this year's net profits after taxes and invested in a new line of business with anticipated cash flows of \$60,000, \$65,000, \$75,000 and \$90,000 over the next four years, assuming a 10% discount rate, what is the projects NPV? (3 points) (10) Would you recommend the project considered in question 9 above? Why or why not? (1 point) Income Statement of Company A Sales Revenue \$4,396,223 Less COGS Fixed Costs Variable costs (42%) Gross Profits Less Operating Expenses Fixed Expenses Variable Expenses (2.8%) Operating Profits Less Interest Expense (2.7%) Net Profits before Taxes Less Taxes (21%) Net profits after taxes Less Dividend Increased Retained Earnings
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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales. Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment. Define the random variable x in this scenario, using the context of the problem. List all possible values of x for this situation. On one trial for this scenario, what does “success” mean? Explain using the words of the problem. What is the probability of success in this scenario? What is the probability of failure in this scenario? Probability Distribution Instructions¬¬¬¬ In Excel, create a probability distribution for this scenario. Label Column A as “x” and Column B as “P(x).” In Column A, list the numbers 0 to 15. In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value. Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places. Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.
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m 2 After graduating from AUD, Salman plans to start a book publishing company in the Media City. He did some research and found that the printer will cost Dh 230,000. He estimated that the variable cost per book is Dh 170 and the selling price is Dh 390. a. How many books must he sell to break even? Also calculate the breakeven in dirham. b. In addition to the costs given above, if he wants to pay himself a salary of Dh 15,400 per year, what is her breakeven point in units and dirham? c. In the first three months of his business, he sold 400 books. Suddenly the printer breaks down. He spent Dh 25000 to fix the printer. In addition to 400 books sold, how many more books she should sell to breakeven? Assume that this part of the question is independent, and she does not draw any salary. Problem 8 A furniture store makes tables and chairs from plywood and glass. The store has 30 units of plywood, 24 units of glass. Each table requires 7 units of plywood three units of glass, whereas each chair requires three units of plywood and two units of glass. The demand for chairs is between 2 and 4. The ratio between the table and chair is at least 1 to 2. A table earns \$225 in profit and a chair, \$145. The store also wants a minimum profit of \$5000. The store wants to determine the number of tables and chairs to make in order to maximize profit. Formulate a linear programming model for this problem
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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